E_s-次仿紧空间  

On E_s-Subparacompact Spaces

作　　者：安艳 斯钦孟克[1] 韩刚[1] AN Yan;Siqinmengke;HAN Gang(College of Mathematics Sciences, Inner Mongolia Normal University, Hohhot 010022 ,China)

机构地区：[1]内蒙古师范大学数学科学学院,内蒙古呼和浩特010022

出　　处：《内蒙古师范大学学报（自然科学汉文版）》2018年第2期93-97,107,共6页Journal of Inner Mongolia Normal University(Natural Science Edition)

基　　金：内蒙古自治区研究生科研创新资助项目(S20161013501)

摘　　要：针对一些广义仿紧空间以及拓扑空间中E_s集和E_s闭集的性质,利用E_s集将次仿紧空间的概念进行了推广,得到E_s-次仿紧空间,给出了E_s-次仿紧空间的几个等价刻画,并讨论了它在E_s-映射下的部分性质.Based on a series of generalized paracompact spaces and the properties of Es and Es-closed sets in topological spaces,this paper introduced the concept of Es-subparacompact spaces,promoting the concept of subparacompact spaces by using Es sets.In addition,several equivalents of Es-subparacompact spaces were charactered while some properties of Es-subparacompact spaces under the Es-mapping were discussed.

关 键 词：Es集 Es-次仿紧空间 Es-映射 点星形加细序列 

分 类 号：O189[理学—数学]